Motions doubly asymptotic to invariant tori in the theory of perturbed Hamiltonian systems

DOI10.1016/0021-8928(90)90146-2zbMath0749.70010OpenAlexW1979165771MaRDI QIDQ1180906

Sergey V. Bolotin

Publication date: 27 June 1992

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(90)90146-2

zbMATH Keywords

integrable Hamiltonian systemsmall perturbationresonant invariant tori

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (1)

Symmetrically homoclinic orbits for symmetric Hamiltonian systems

Cites Work

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• The existence of homoclinic motions
• On the conservation of hyperbolic invariant tori for Hamiltonian systems
• Integrability and non-integrability in Hamiltonian mechanics
• A generalized Morse theory

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